What is the answer to 2/(x+2)+3/x =-x/(x+2) ?

The answer to 2/(x+2)+3/x =-x/(x+2) is x=-3

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2/(x+2)+3/x =-x/(x+2)

\frac{2}{x + 2} + \frac{3}{x} = - \frac{x}{x + 2}

x = - 3

Solution steps

\frac{2}{x + 2} + \frac{3}{x} = - \frac{x}{x + 2}

Multiply by LCM

2 x + 3 (x + 2) = - x^{2}

Solve

2 x + 3 (x + 2) = - x^{2} : x = - 3, x = - 2

x = - 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Since the equation is undefined for:

- 2

x = - 3

\frac{1}{2 x} = \frac{1}{2} - \frac{3}{2 x}

\frac{5}{3 n - 8} = \frac{n}{n + 2}

\frac{x ^{3} + 10 x ^{2} + 25 x}{x + 5} = 0

182. 5^{2} = \frac{1}{x} 0. 7^{3}

8 - \frac{7}{x ^{2} + 6 x} = \frac{x}{x + 6}

What is the answer to 2/(x+2)+3/x =-x/(x+2) ?
The answer to 2/(x+2)+3/x =-x/(x+2) is x=-3
Solve for x: 2/(x+2)+3/x =-x/(x+2)
The solution is x=-3